Question

For the function f,Construct and simplify the difference quotient f(x+h)-f(x)/h 

2) f(x) = 12-2x
Expand
Transcribed Image Text

2) f(x) = 12-2x

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Functions

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded by the ...

A: For rotation about Y axis, the graph will be as shown,

Q: What is the age of a sample of charcoal in which 90% of the carbon-14 originally present has decayed...

A: Consider half-life for charcoal sample.

Q: Find the centroid of a thin, flat plate covering the “triangular” region in the first quadrant bound...

A: Consider the given curve.

Q: How is the natural logarithm function defined as an integral? What are its domain, range, and deriva...

A: Explanation:

Q: Consider a region bounded by the graphs of y = x4 and y = x5. Show that the center of mass lies outs...

A: It is given that the density of the plate is  and the region bounded by the graphs of y = x4 and y =...

Q: Find the volume of the solid generated by revolving the triangular region bounded by the lines y = 2...

A: a) Draw the situation first.When it rotates around x=1 then the radius = 1-xy=2x is givenSo, x=y/2

Q: A young person with no initial capital invests k dollars per year at an annual rate of return r. Ass...

A: Given, A young person with no initial capital invests k dollars per year at an annual rate of return...

Q: A spring has a natural length of 10 in. An 800-lb force stretches the spring to 14 in. a. Find the f...

A: (a) Obtain the force constant as follows.

Q: What is sigma notation? What advantage does it offer? Give examples

A: Sigma notation:

Q: Let ƒ(x) = c/(1 + x2) . Find the value of c so that ƒ is a probability c density function. If ƒ is a...

A: Write the given expression and simplify it using the definition of probability density function.

Q: find the volume The solid lies between planes perpendicular to the x-axis at x = 0 and x = 4. The cr...

A: Consider the provided curve and it limit,

Q: Find the center of mass of a thin, flat plate covering the region enclosed by the parabola y2 = x an...

A: To determine the centre of mass of the plate.

Q: A particle of mass m starts from rest at time t = 0 and is moved along the x-axis with constant acce...

A: Given information:

Q: Find the volume of the solid generated by revolving about the x-axis the region bounded by y = 2 tan...

A: Given information:

Q: find the center of mass of a thin plate of constant density d covering the given region. 1. The regi...

A: Given information:

Q: Derive the formula for the volume of a right circular cone of height h and radius r using an appropr...

A: Given information:

Q: Suppose that ƒ is continuous on [a, b] and that c is an interior point of the interval. Show that if...

A: Mean Value Theorem:

Q: A vertical rectangular plate a units long by b units wide is sub-merged in a fluid of weight-density...

A: known fact:

Q: Find the average value of ƒ(x) = sqrt(x + 1)/ sqrt(x) on the interval [1, 3]

A: Given a function

Q: Show that the area of the region in the first quadrant en-closed by the curve y = (1/a) cosh ax, the...

A: First of all, consider the graph for curve y, the coordinate axes and the vertical line x = b.The ar...

Q: Can there be a curve satisfying the following conditions? d2y/dx2 is everywhere equal to zero and, w...

A: To check: The curve satisfying the given condition or not.Explanation:

Q: The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential equat...

A: Click to see the answer

Q: Find the area of the region that lies between the curves y = sec x and y = tan x from x = 0 to x = p...

A: We need to find the area of the region that lies between the curves y = sec x andy = tan x from x = ...

Q: find the volume  The base of the solid is the disk x2 + y2<= 1. The cross-sections by planes perp...

A: Given,The base of the solid is the diskx2 + y2<= 1.Since The cross-sections by planes perpendicul...

Q: 1 Find the area of the region (see figure) in two ways. a. By integrating with respect to y. b. Usin...

A: Find area of the shaded region in two waysUsing integrationUsing Geometry

Q: Find the volume of the solid generated by revolving the “triangular” region bounded by the curve y =...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: A young person with no initial capital invests k dollars per year at an annual rate of return r. Ass...

A: The rate of change of the sum is equal to the percentage of the sum at that time plus the amount he ...

Q: Assume that the brakes of an automobile produce a constant deceleration of k ft/sec2. (a) Determine ...

A: Given,          Assume that the brakes of an automobile produce a constant deceleration of k ft/sec2

Q: Derive the formula sinh-1 x = ln (x + sqrt(x2 + 1)) for all real x. Explain in your derivation why t...

A: Define y as follows.

Q: It took 1800 J of work to stretch a spring from its natural length of 2 m to a length of 5 m. Find t...

A: Click to see the answer

Q: Suppose a 1.6-oz golf ball is placed on a vertical spring with force constant k = 2 lb/in. The sprin...

A: given Suppose a 1.6-oz golf ball is placed on a vertical spring with force constant k = 2 lb/in. The...

Q: Find the lengths of the curves in Exercises 55 and 56. 55. y = (x2/8) - ln x, 4 <=x<=8 56. x =...

A: Given:

Q: Two countries cooperated to airlift​ food, clothing, and other supplies to a blockaded city. The car...

A: Given:The cargo capacity was 30,000 cubic feet for planes from country A and 20,000 cubic feet for p...

Q: Biologists consider a species of animal or plant to be endangered if it is expected to become extinc...

A: Click to see the answer

Q: The force of attraction on an object below Earth’s surface is directly proportional to its distance ...

A: Click to see the answer

Q: The lateral (side) surface area of a cone of height h and base radius r should be pai rsqrt(r2 + h2)...

A: Obtain the lateral surface area as follows.

Q: A vertical right-circular cylindrical tank mea-sures 30 ft high and 20 ft in diameter. It is full of...

A: Given information:

Q: The region in the first quadrant that is bounded above by the curve y = 1/sqrt(x), on the left by th...

A: Given,

Q: Find the length of the curve y = ln (1 - x2), 0<=x<=1/2

A: Given:

Q: Let h = ƒg be the product of two differentiable functions of x. a. If ƒ and g are positive, with loc...

A: a. Given information:

Q: solve the differential equation. yy′ = sec y2 sec 2 x

A: We need to solve the following differential equation

Q: Find the derivative of the function. f(x)% 3D(x²+1)(x² + 10)/3 f'(x)%3D

A: Given equation

Q: PROBLEM 4 (cos² x sin x-sin x cos x+sin³ x' lim Evaluate analytically the х2

A: Click to see the answer

Q: Given the equation 5x + 2y = 4, answer the following questions. (a) Is the slope of the line describ...

A: Part (a):

Q: t2y″ − 4ty′ + 4y = 0

A: given:

Q: How do you define and calculate the area of the surface swept out by revolving the graph of a smooth...

A: Click to see the answer

Q: Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary. x...

A: Here, 

Q: The square region with vertices (0, 2), (2, 0), (4, 2), and (2, 4) is revolved about the x-axis to g...

A: Find the side, perimeter and area of square.

Q: The region between the curve y = 2/x and the x-axis from x = 1 to x = 4 is revolved about the x-axis...

A: Given information: